Math

Hello!

Could someone please take a look at the problem below and let me know if I made mistakes in simplifying the given equation? I'm quite certain that I did make a mistake somewhere because the original equation and its simplified form give different graphs when plotted. I would greatly appreciate any help!

y=1/4log2(8x-56)^16 -12
y=(16)(1/4)log2(8x-56)-12
y=4log2(8x-56)-12
y=4log2(8x) : 4log2(56) -12
y=log2(8x)^4 : 4log2(56) -12
y=log2((8^4)(x^4)) : 4log2(56) -12
y=log2(8^4) + log2(x^4) : 4log2(56) -12
y=log2(2^12) + log2(x^4) : 4log2(56) -12
y=12 + log2(x^4) : 4log2(56) -12
y=log2(x^4) : 4log2(56)
y=4log2(x) : 4log2(56)
y=4log2(x-56)

1. 👍 0
2. 👎 0
3. 👁 519
1. Your major mistake is in line 4
You are basically saying
log(A-B) = logA/logB
there is no such relation!

From line 3:
y=4log2(8x-56)-12
= 4log2(8(x-7)) - 12
= 4log28 + 4log2(x-7) - 12
= 4(3) + 4log2(x-7) - 12
= 4log2(x-7) , where x>7

1. 👍 0
2. 👎 0
posted by Reiny
2. Yes you are right, there is no such relation. Thank you so much for your help!

1. 👍 0
2. 👎 0

Similar Questions

1. English

1. The hospital is for certain people. 2. He has a certain problem. 3. He has a sure problem. 4. He is certain that the boy is diligent. -------------------------- Are they all grammatical? The meaning of 'certain' seems to be

asked by rfvv on November 16, 2014
2. Algebra

Use the above graph of f(x) to complete the following table for values of its inverse function, f^{-1}(x). The graph has a point on (2,2)the y-intercept is 4 the x intercept is 3 x =-4, 8, 0, -2, 2 f^{-1}(x) Note: You can earn

asked by kim on June 7, 2015
3. Algenra

How do I work this problem, it is not a homework problem but a problem similar to a homework problem. I know i need to factor the left side of the problem. here is what I have so far.. x^2-2x+1=7 x^2-2x+1-7=7-7 x^2-2x-6=0 here is

asked by Becca on October 3, 2007
4. Algebra

How do I work this problem, it is not a homework problem but a problem similar to a homework problem. I know i need to factor the left side of the problem. here is what I have so far.. x^2-2x+1=7 x^2-2x+1-7=7-7 x^2-2x-6=0 here is

asked by Becca on October 3, 2007
5. English

1. It's your problem, not my problem. 2. It's your problem, and it's not my problem. 3. It's your problem, but it's not my problem. (What does #1 mean? Does #1 mean #2 or #3? Or do you have another expression which is the full

asked by John on July 6, 2009
6. Math

Went ahead and did the HW the teach recommended but she did not post the answers and I would like to see if im on the right track. Problem 1: Are the vectors (2,−1,−3), (3, 0,−2), (1, 1,−4) linearly independent? Problem 2

asked by John Rose on May 11, 2013
7. Math

Young and Company owes bond holders \$5,500 interest at the end of each quarter for the next five years. How much must they deposit now at 8% interest compounded quarterly to yield an annuity payment of \$5,500? -- I am pretty sure

asked by Jennifer on December 11, 2014
8. chemistry

I have been having a problem with solving a chemistry problem. The problem requires finding the density in copper at 1305K (the temperature changes when you reset the problem). I think I am using the proper formula,

asked by Al on November 17, 2013
9. chemistry

I have been having a problem with solving a chemistry problem. The problem requires finding the density in copper at 1305K (the temperature changes when you reset the problem). I think I am using the proper formula,

asked by Al on November 17, 2013
10. trig

I'm trying to see if the teacher didn't give us the right problem or if I'm just not getting it. The problem is "re-write the expression without a fraction: 4/(1-sin x)". I can do it if the problem is sin squared x but I don't

asked by Priscilla on September 19, 2009
11. math

What strategy did you use in solving this problem? 22. Suppose that you wanted to find the whole numbers represented by each of the letters in the following addition problem: Which problem-solving strategy might be most helpful to

asked by kim on January 20, 2010

More Similar Questions